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Solving PDEs using Machine Learning by Balaji Srinivasan, IIT Madras 4 года назад


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Solving PDEs using Machine Learning by Balaji Srinivasan, IIT Madras

Table of Contents (powered by https://videoken.com) 0:00:00 [Talk: Solving PDEs using Machine Learning] 0:01:02 Outline 0:01:04 Diverse applications of PDEs 0:01:44 PDEs and flow solvers (CFD) 0:02:51 Overall solution process for typical mesh-based flow solvers 0:03:42 Can we have autonomous flow solvers? 0:04:15 Autonomous Thermal Learning Systems research group 0:05:02 Mesh Based Approach 0:05:56 Why Neural Networks? 0:07:49 Problem formulation 0:08:40 Problem formulation (contd...) 0:08:50 Physics Informed Neural Network (PINN) 0:09:23 Conventional methods vs PINN 0:09:54 Some issues with PINN 0:10:09 Extreme Learning Machine (Huang,2006) 0:11:55 Results - An example of complicated geometry 0:12:18 Rapid solution of biharmonic equation 0:12:28 PIELM versus PINN: Solution of biharmonic equation 0:12:31 PIELM vs PINN (contd...) 0:12:50 PIELM versus FEM 0:13:01 PIELM vs FEM (contd...) 0:13:19 Limitations of PIELM: representation of functions 0:13:38 Limitations of PIELM: 2D unsteady advection-diffusion 0:14:14 Summary and future work 0:15:31 Q&A Please visit this website for more information about the conference: https://conf.iiserb.ac.in/thefourthpa...

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